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Describing correlated electron systems near phase transitions has been amajor challenge in computational condensed-matter physics. In this paper, weapply highly accurate fixed node quantum Monte Carlo techniques, which directlywork with many body wave functions and simulate electron correlations, toinvestigate the metal to insulator transition of a correlated hydrogen lattice.By calculating spin and charge properties, and analyzing the low energy Hilbertspace, we identify the transition point and identify order parameters that canbe used to detect the transition. Our results provide a benchmark for densityfunctional theories seeking to treat correlated electron systems.

Quantum Monte Carlo study of the metal to insulator transition on a honeycomb lattice with 1/r interactions